Pith. sign in

REVIEW 1 cited by

Loday--Quillen--Tsygan Theorem for Coalgebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0411661 v1 pith:ZK7WALRV submitted 2004-11-30 math.KT

Atabey Kaygun This is my paper · ORCID
classification math.KT
keywords coalgebracoalgebrashomologyloday--quillen--tsygantheoremalgebracasechevalley--eilenberg--lie
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie homology of the Lie coalgebra of infinite matrices over a coassociative coalgebra $C$ is generated by the cyclic homology of the underlying coalgebra $C$ as an exterior algebra.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories

    math.RA 2025-05 conditional novelty 6.0 of 10

    For Koszul Calabi-Yau algebras, the Loday-Quillen-Tsygan isomorphism deforms to a co-Poisson bialgebra isomorphism and quantizes to a Hopf algebra isomorphism, induced from the Lie bialgebra on the cyclic homology of ...

Pith tools